This book provides a self-contained and systematic introduction to classical electron theory
and its quantization, non-relativistic quantum electrodynamics. The first half of the book …

This monograph offers a state-of-the-art mathematical account of functional integration
methods in the context of self-adjoint operators and semigroups using the concepts and …

We prove the existence, uniqueness, and strict positivity of ground states of the possibly
massless renormalized Nelson operator under an infrared regularity condition and for Kato …

We study the time evolution of the Nelson model in a mean-field limit in which N
nonrelativistic bosons weakly couple (with respect to the particle number) to a positive or …

The application of the Feynman‐Kac formula to Polaron models of quantum theory leads to
the path measure of Brownian motion perturbed by a pair potential that is translation …

This paper studies the derivation of the nonlinear system of Schrödinger--Klein--Gordon (S-
KG) equations, coupled by a Yukawa-type interaction, from a microscopic quantum field …

We show that the ground state energy of the translationally invariant Nelson model,
describing a particle coupled to a relativistic field of massless bosons, is an analytic function …

Starting from the N-particle Nelson Hamiltonian defined by imposing an ultraviolet cutoff, we
perform ultraviolet renormalization by showing that in the ultraviolet cutoff limit a self-adjoint …

We consider the classical limit of the Nelson model, a system of stable nucleons interacting
with a meson field. We prove convergence of the quantum dynamics towards the evolution …

We give a functional integral representation of the semigroup generated by the spin-boson
Hamiltonian by making use of a Poisson point process and a Euclidean field. We present a …